Question

6/7 x 8/13 + 6/13 x 9/7 - 4/13 x 6/7

Answer 1

\(\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{4}{13}.\dfrac{6}{7}\)

\(=\dfrac{6}{7}.\left(\dfrac{8}{13}+\dfrac{9}{13}-\dfrac{4}{13}\right)\)

\(=\dfrac{6}{7}.1\)

\(=\dfrac{6}{7}\)

Answer 2

\(\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{4}{13}.\dfrac{6}{7}\)

\(\Leftrightarrow\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{7}.\dfrac{9}{13}-\dfrac{4}{13}.\dfrac{6}{7}\)

\(\Leftrightarrow\dfrac{6}{7}.\left(\dfrac{8}{13}+\dfrac{9}{13}-\dfrac{4}{13}\right)\)

\(\Leftrightarrow\dfrac{6}{7}\)